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Finding the Fourth Proportional to 32,466.57, 48,662.95 and 13,734.92

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Solution

The fourth proportional to 32,466.57, 48,662.95 and 13,734.92 is: 20,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.57 : 48,662.95 = 13,734.92 : x
  2. Step 2: Convert to fraction form
    32,466.57/48,662.95 = 13,734.92/x
  3. Step 3: Cross multiply
    32,466.57x = 48,662.95 × 13,734.92
  4. Step 4: Simplify right side
    32,466.57x = 668,381,413.22
  5. Step 5: Solve for x
    x = 668,381,413.22/32,466.57
  6. Step 6: Final answer
    x = 20,586.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.